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OpenStudy (anonymous):
HELP ME PLEASE!! Identify the 35th term of an arithmetic sequence where a1 = -7 and a18 = 95
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hartnn (hartnn):
so you know the formula for n'th term of arithmetic sequence ?
OpenStudy (anonymous):
no I don't know
hartnn (hartnn):
\(\Large a_n = a_1 + (n-1)d\)
where
an is the n'th term
a1 is the 1st term
d = common difference
n = number of terms
OpenStudy (anonymous):
common difference is d=6
OpenStudy (anonymous):
now further is all substitution
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hartnn (hartnn):
lets use this formula and find 'd' first
we have a18 = 95
so plug in
n=18
an =95
a1= -7
in the formula
and tell me what u get for 'd'
hartnn (hartnn):
aryan
let her try
OpenStudy (anonymous):
ok fine )
OpenStudy (anonymous):
is it 9.5?
OpenStudy (anonymous):
@hartnn
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hartnn (hartnn):
9.5 for what ?
d?
OpenStudy (anonymous):
yes
hartnn (hartnn):
thats not correct
are you sure you solved this :
\(\Large 95=-7 +17d\)
OpenStudy (anonymous):
nope that's definitely not what I solved lol. but is it 6?
hartnn (hartnn):
yes,
d=6
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hartnn (hartnn):
now use the same formula to get 35th term
plug in
n=35
a1= -7
d=6
in the formula
OpenStudy (anonymous):
is the answer 197?
hartnn (hartnn):
\(\huge \checkmark \)
OpenStudy (anonymous):
thank you !
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